CN114665479A - Power distribution network power supply recovery method and system considering network reconfiguration - Google Patents

Power distribution network power supply recovery method and system considering network reconfiguration Download PDF

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CN114665479A
CN114665479A CN202210565831.8A CN202210565831A CN114665479A CN 114665479 A CN114665479 A CN 114665479A CN 202210565831 A CN202210565831 A CN 202210565831A CN 114665479 A CN114665479 A CN 114665479A
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node
distribution network
load
power distribution
power
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CN114665479B (en
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毛志鹏
黄志强
孙建军
查晓明
黄萌
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Wuhan University WHU
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Wuhan University WHU
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/001Methods to deal with contingencies, e.g. abnormalities, faults or failures
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/10Power transmission or distribution systems management focussing at grid-level, e.g. load flow analysis, node profile computation, meshed network optimisation, active network management or spinning reserve management
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/04Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
    • H02J3/06Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/12Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/381Dispersed generators
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y04INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04SSYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S10/00Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
    • Y04S10/52Outage or fault management, e.g. fault detection or location

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)

Abstract

The invention discloses a power distribution network power supply recovery method and system considering network reconfiguration, and three power supply recovery means of network reconfiguration, a distributed power supply and a flexible multi-state switch are considered in power supply recovery. Firstly, rapidly searching off-grid nodes by adopting an incidence matrix of a power distribution network undirected graph, and counting equipment and resources which can be used for recovering power supply; secondly, establishing a simulation closed-loop operation power distribution network node voltage optimization model, cutting off branches with low branch end node voltage and small power flow in a loop according to a power flow optimization result, and determining a power distribution network topology adopted by power supply recovery; and finally, establishing a load recovery model considering load grading, and optimizing and calculating a load recovery scheme. The method reduces the situation that the power recovery range of the power distribution network is narrowed due to unreasonable topology after the fault occurs, and effectively ensures the reliability of the power distribution network under the fault.

Description

Power distribution network power supply recovery method and system considering network reconfiguration
Technical Field
The invention belongs to the field of power distribution network control, and particularly relates to a power distribution network power supply recovery method and system considering network reconfiguration.
Background
The power supply reliability is one of important indexes for evaluating the power quality of the power distribution network. After a power distribution network fault occurs, how to realize rapid, large-range and stable-process load recovery is an important problem for improving the power supply reliability of the power distribution network.
The traditional power supply recovery means of the power distribution network is usually network reconstruction. In order to realize that power supply recovery after a fault meets the capacity constraint of a power transfer line, after a traditional power distribution network is subjected to network reconstruction, the terminal load far away from the power injection point of the power distribution network is usually required to be cut off, and the maximum load recovery is realized. Meanwhile, as Distributed Generators (DG) and power electronic devices represented by Soft Open Point (SOP) are connected to a power distribution network, power supply recovery means after a fault of a novel power distribution network are increased, so that calculation becomes complicated. By combining the analysis, the research of the novel power distribution network fault recovery rapid calculation method comprehensively considering multiple recovery means has important significance.
Disclosure of Invention
Aiming at the defects of the prior art, the invention aims to provide a power distribution network power supply recovery method and system considering network reconstruction, and aims to solve the problems of complex power supply recovery model and slow calculation speed considering multiple recovery means.
In order to achieve the above object, in a first aspect, the present invention provides a method for recovering power supplied by a power distribution network in consideration of network reconfiguration, including the following steps:
after the fault of the power distribution network is removed, establishing a corresponding undirected graph correlation matrix to determine the power distribution network information after the fault is removed, and calculating the load amount to be recovered based on the power distribution network information, wherein the power distribution network information comprises: the grid-connected nodes after the fault is removed, the off-grid nodes after the fault is removed, the loads before the fault of each node and the off-grid nodes are concentrated with resource information which can be used for recovering power supply;
establishing a node voltage optimization model simulating closed-loop operation of the power distribution network after the fault is removed based on the grid-connected node set after the fault is removed, the off-grid node set after the fault is removed and a contact switch of the power distribution network, and determining a power distribution network topology adopted for recovering power supply of the off-grid node of the power distribution network; the node voltage optimization model puts all available power distribution network tie switches into operation, and branches in the power distribution network tie switches are withdrawn from the node voltage optimization model to reduce the number of basic loops in the model until the number of the basic loops in the model is reduced to 0, so that the final power distribution network topology is obtained; the logic to exit the branch from operation is: if the basic loop number of the model after the branch circuit exits from operation is reduced, the voltage of a node connected with the branch circuit is minimum, and the line load flow of the branch circuit is minimum, the branch circuit exits from operation;
based on the power distribution network topology, the loads before the faults of the nodes, the resource information which can be used for recovering power supply in the off-network node set and the load quantity to be recovered, the maximum active load recovery quantity is an objective function, the position of the recovered load and the quantity of the recovered load are determined, the weight of each level of load is determined according to the power factor of each level of load, and the level of the load is divided according to the importance degree of the load in the power distribution network.
In an optional example, after the fault of the power distribution network is removed, a corresponding undirected graph correlation matrix is established to determine the information of the power distribution network after the fault is removed, which specifically includes:
acquiring branch information and node information of the power distribution network, and determining a node set Bus of the power distribution network and a Load before each node fails;
establishing an undirected graph correlation matrix M of the power distribution network according to the information of the branch put into operation in the power distribution network after the fault is removed, wherein the undirected graph correlation matrix M comprises elements
Figure 610516DEST_PATH_IMAGE001
Is defined as:
Figure 793235DEST_PATH_IMAGE002
the method comprises the following steps of taking a head-end node connected with a distribution network transformer as a search set, and establishing a grid-connected node set Con by utilizing an undirected graph incidence matrix M search, wherein the specific calculation method comprises the following steps:
1) reading rows corresponding to each node of the search set in the undirected graph correlation matrix M to obtain branch numbers associated with the nodes of the search set;
2) reading nodes associated with the relevant branches obtained from the step 1) in the undirected graph correlation matrix M to serve as a new search set;
3) repeating the step 1) and the step 2) until the search set is not changed any more, wherein the search set at the moment is a grid-connected node set Con;
4) calculating an off-grid node set Iso, and enabling Iso = Bus-Con;
5) according to the off-grid node set Iso and the Load before each node fault, summing the loads before the off-grid node fault to calculate the active component of the Load quantity to be recovered
Figure 104131DEST_PATH_IMAGE003
And a reactive component
Figure 640286DEST_PATH_IMAGE004
In an optional example, the establishing of the node voltage optimization model simulating closed-loop operation of the power distribution network after fault removal specifically includes:
assuming that all available interconnection switches of the power distribution network are put into operation, forming a power distribution network topology simulating closed-loop operation, optimizing the operation states of a distributed power supply and a flexible multi-state switch in the power distribution network by taking the minimum value of the node voltage as an optimization target, and calculating to obtain the voltage of each node and the load flow of each branch circuit simulating closed-loop operation; the optimization target is as follows:
Figure 720237DEST_PATH_IMAGE005
in the formula,
Figure 73858DEST_PATH_IMAGE006
is a nodeiVoltage amplitude of (d);
the node voltage optimization model is constrained as follows:
1) and (3) system power flow constraint:
Figure 731104DEST_PATH_IMAGE007
Figure 195584DEST_PATH_IMAGE008
in the formula,
Figure 395621DEST_PATH_IMAGE009
is a nodeijThe phase angle difference of (a) is,
Figure 529930DEST_PATH_IMAGE010
and
Figure 549839DEST_PATH_IMAGE011
are respectively injection nodesiActive power and reactive power of;
Figure 818009DEST_PATH_IMAGE012
Figure 731607DEST_PATH_IMAGE013
Figure 692610DEST_PATH_IMAGE014
Figure 199815DEST_PATH_IMAGE015
are respectively nodes in the node admittance matrixiSelf-conductance and self-susceptance, nodeiAnd nodejMutual conductance and mutual susceptance between them;
Figure 615884DEST_PATH_IMAGE010
and
Figure 790513DEST_PATH_IMAGE011
the calculation formula of (a) is as follows:
Figure 391259DEST_PATH_IMAGE016
Figure 510393DEST_PATH_IMAGE017
wherein,
Figure 854787DEST_PATH_IMAGE018
and
Figure 883923DEST_PATH_IMAGE019
are respectively nodesiThe connected flexible multi-state switch injects the active power and the reactive power of the node,
Figure 796515DEST_PATH_IMAGE020
and
Figure 278312DEST_PATH_IMAGE021
respectively injecting active power and reactive power of nodes into the connected distributed power supply;
Figure 426397DEST_PATH_IMAGE022
and
Figure 169094DEST_PATH_IMAGE023
are respectively nodesiThe active and reactive components of the load;
2) node voltage constraint:
Figure 377221DEST_PATH_IMAGE024
in the formula,
Figure 346314DEST_PATH_IMAGE025
and
Figure 907877DEST_PATH_IMAGE026
upper and lower limits of system voltage constraints, respectively;
Figure 646026DEST_PATH_IMAGE027
taking 10% of the deviation from the reference voltage,
Figure 25054DEST_PATH_IMAGE028
taking 0;
3) and (3) branch current constraint:
Figure 606077DEST_PATH_IMAGE030
in the formula,
Figure 361544DEST_PATH_IMAGE031
is a nodeiAnd nodejThe amplitude of the current in the branch in which it is located,
Figure 688620DEST_PATH_IMAGE032
is a nodeiAnd nodejThe maximum allowable current of the branch in which the current transformer is arranged;
Figure 113916DEST_PATH_IMAGE033
is a nodeiAnd nodejVoltage phase difference of (a);
4) flexible multi-state switch operation constraints:
Figure 57601DEST_PATH_IMAGE034
Figure 351179DEST_PATH_IMAGE035
Figure 922975DEST_PATH_IMAGE036
in the formula,
Figure 643806DEST_PATH_IMAGE037
and
Figure 809208DEST_PATH_IMAGE038
active power of nodes is injected into two ends of the flexible multi-state switch respectively,
Figure 781844DEST_PATH_IMAGE039
and
Figure 349091DEST_PATH_IMAGE040
respectively injecting reactive power of nodes at two ends of the flexible multi-state switch,
Figure 975245DEST_PATH_IMAGE041
capacity of a flexible multi-state switch;
5) distributed power supply operation constraint:
Figure 18156DEST_PATH_IMAGE042
Figure 653537DEST_PATH_IMAGE043
in the formula,
Figure 809711DEST_PATH_IMAGE044
and
Figure 13291DEST_PATH_IMAGE045
active power and reactive power of the distributed power injection nodes are injected respectively,
Figure 887706DEST_PATH_IMAGE046
for minimum power factor limitation of distributed power supply output, take
Figure 326777DEST_PATH_IMAGE047
In an optional example, the determining to recover the power distribution network topology adopted by the power supply of the off-grid node of the power distribution network specifically includes:
1) determining voltage of each node based on simulated closed loop operation power distribution network topology
Figure 993251DEST_PATH_IMAGE048
And determining the nodemAnd nodenMean current of branch
Figure 226786DEST_PATH_IMAGE049
Figure 588497DEST_PATH_IMAGE050
Figure 441047DEST_PATH_IMAGE051
Figure 837393DEST_PATH_IMAGE052
Figure 241830DEST_PATH_IMAGE053
In the formula,S mn is a nodemTo the nodenIn the flow of (2) to (2),S nm is a nodenTo the nodemIn the flow of (2) to (2),P mn Q mn are respectively nodesmTo nodenActive and reactive components of the power flow;
2) sequencing the node voltages in an ascending order;
3) acquiring corresponding node numbers in sequence according to the node voltages from low to high, calculating whether related branches need to be retired, and acquiring the branch numbers related to the nodes and the branch flows corresponding to the branch numbers according to the undirected graph incidence matrix M; if the branch with the power flow smaller than the threshold value is retreated from the simulated closed-loop operation power distribution network topology, the basic loop number of the network topology can be reduced, and the branch is retreated;
4) and repeating the steps 1) to 3) until the basic loop number of the power distribution network topology simulating closed-loop operation is 0, and obtaining the final power distribution network topology at the moment.
In an optional example, the position of the recovered load and the number of the recovered loads are determined, and the weight of each level of load is determined according to the power factor of each level of load, specifically:
establishing a load recovery model, and introducing a load recovery variablec i The meaning is as follows:
Figure 215471DEST_PATH_IMAGE054
considering the recovery of the load according to the important level, the load with three levels is set, and the node sets of the levels from high to low are respectively
Figure 996345DEST_PATH_IMAGE055
Figure 247198DEST_PATH_IMAGE056
And
Figure 697902DEST_PATH_IMAGE057
the load at the same level has the same importance degree, and the load recovery weight is introduced
Figure 299784DEST_PATH_IMAGE058
Description nodeiThe importance of the load, then
Figure 618770DEST_PATH_IMAGE058
Can be determined by the following formula:
Figure 848763DEST_PATH_IMAGE059
Figure 595003DEST_PATH_IMAGE060
Figure 418602DEST_PATH_IMAGE061
Figure 416645DEST_PATH_IMAGE062
in the formula,D 1 D 2 andD 3 is a weight
Figure 642090DEST_PATH_IMAGE063
The specific value of (a) is,
Figure 559230DEST_PATH_IMAGE064
is a nodeiA power factor of the load;
with the aim of recovering the active load at most, the objective function of the load recovery model can be expressed as:
Figure 994760DEST_PATH_IMAGE065
the node voltage constraint of the load recovery model is as follows:
Figure 921128DEST_PATH_IMAGE066
(ii) a In the formula,
Figure 735500DEST_PATH_IMAGE067
and
Figure 964487DEST_PATH_IMAGE068
are each set to 10% from the reference voltage.
In a second aspect, the present invention provides a power distribution network power supply recovery system considering network reconfiguration, including:
the power distribution network information determining unit is used for establishing a corresponding undirected graph correlation matrix after the fault of the power distribution network is removed so as to determine the power distribution network information after the fault is removed, and calculating the load amount to be recovered based on the power distribution network information, wherein the power distribution network information comprises: the grid-connected nodes after the fault is removed, the off-grid nodes after the fault is removed, the loads before the fault of each node and the off-grid nodes are concentrated with resource information which can be used for recovering power supply;
the power distribution network topology determining unit is used for establishing a node voltage optimization model simulating closed-loop operation of the power distribution network after the fault is removed based on the grid-connected node set after the fault is removed, the off-grid node set after the fault is removed and a contact switch of the power distribution network, and determining the power distribution network topology adopted for recovering power supply of the off-grid node of the power distribution network; the node voltage optimization model puts all available power distribution network tie switches into operation, and the branches in the node voltage optimization model are withdrawn from operation so as to reduce the number of basic loops in the model until the number of the basic loops in the model is reduced to 0, so that the final power distribution network topology is obtained; the logic to exit the branch from operation is: if the basic loop number of the model after the branch circuit exits from operation is reduced, the voltage of a node connected with the branch circuit is minimum, and the line load flow of the branch circuit is minimum, the branch circuit exits from operation;
and the load configuration unit is used for determining the positions of the recovered loads and the number of the recovered loads based on the topology of the power distribution network, the loads before the faults of the nodes, the resource information which can be used for recovering power supply in the off-network node set and the load quantity to be recovered by taking the maximum active load recovery quantity as an objective function, determining the weight of each level of load according to the power factor of each level of load, and dividing the level of the load according to the importance degree of the load in the power distribution network.
In an optional example, the power distribution network information determining unit establishes a corresponding undirected graph correlation matrix after the power distribution network fault is removed to determine the power distribution network information after the fault is removed, specifically: acquiring branch information and node information of the power distribution network, and determining a node set Bus of the power distribution network and a Load before each node fails; establishing an undirected graph correlation matrix M of the power distribution network according to the information of the branch put into operation in the power distribution network after the fault is removed, wherein the undirected graph correlation matrix M comprises elements
Figure 762679DEST_PATH_IMAGE069
Is defined as:
Figure 227158DEST_PATH_IMAGE002
(ii) a The method comprises the following steps of taking a head-end node connected with a distribution network transformer as a search set, and establishing a grid-connected node set Con by utilizing an undirected graph incidence matrix M search, wherein the specific calculation method comprises the following steps: 1) reading rows corresponding to each node of the search set in the undirected graph correlation matrix M to obtain branch numbers associated with the nodes of the search set; 2) reading nodes associated with the relevant branches obtained from the step 1) in the undirected graph correlation matrix M to serve as a new search set; 3) repeating the step 1) and the step 2) until the search set is not changed any more, wherein the search set at the moment is a grid-connected node set Con; 4) calculating an off-grid node set Iso, and enabling Iso = Bus-Con; 5) according to the off-grid node set Iso and the Load before each node fault, summing the loads before the off-grid node fault to calculate the active component of the Load quantity to be recovered
Figure 20671DEST_PATH_IMAGE070
And a reactive component
Figure 545193DEST_PATH_IMAGE004
In an optional example, the power distribution network topology determining unit establishes a node voltage optimization model for simulating closed-loop operation of the power distribution network after fault removal, specifically: assuming that all available interconnection switches of the power distribution network are put into operation, forming a power distribution network topology simulating closed-loop operation, optimizing the operation states of a distributed power supply and a flexible multi-state switch in the power distribution network by taking the minimum value of the node voltage as an optimization target, and calculating to obtain the voltage of each node and the load flow of each branch circuit simulating closed-loop operation;
the optimization target is as follows:
Figure 830681DEST_PATH_IMAGE005
in the formula,
Figure 708638DEST_PATH_IMAGE006
is a nodeiVoltage amplitude of (d);
the node voltage optimization model is constrained as follows:
1) and (3) system power flow constraint:
Figure 763182DEST_PATH_IMAGE007
Figure 458605DEST_PATH_IMAGE071
in the formula,
Figure 824864DEST_PATH_IMAGE009
is a nodeijThe phase angle difference of (a) is,
Figure 896726DEST_PATH_IMAGE010
and
Figure 805776DEST_PATH_IMAGE011
are respectively injection nodesiActive power and reactive power of;
Figure 281888DEST_PATH_IMAGE012
Figure 541968DEST_PATH_IMAGE013
Figure 886361DEST_PATH_IMAGE014
Figure 774552DEST_PATH_IMAGE015
are respectively nodes in the node admittance matrixiSelf-conductance and self-susceptance, nodeiAnd nodejMutual conductance and mutual susceptance between them;
Figure 811778DEST_PATH_IMAGE010
and
Figure 293575DEST_PATH_IMAGE011
the calculation formula of (a) is as follows:
Figure 317026DEST_PATH_IMAGE016
Figure 200668DEST_PATH_IMAGE017
wherein,
Figure 408795DEST_PATH_IMAGE018
and
Figure 236943DEST_PATH_IMAGE019
are respectively nodesiThe connected flexible multi-state switch injects the active power and the reactive power of the node,
Figure 188719DEST_PATH_IMAGE020
and
Figure 926867DEST_PATH_IMAGE021
respectively injecting active power and reactive power of nodes for the connected distributed power supplies;
Figure 915683DEST_PATH_IMAGE022
and
Figure 372072DEST_PATH_IMAGE023
are respectively nodesiThe active and reactive components of the load;
2) node voltage constraint:
Figure 861959DEST_PATH_IMAGE024
in the formula,
Figure 579249DEST_PATH_IMAGE025
and
Figure 394758DEST_PATH_IMAGE026
upper and lower limits of system voltage constraints, respectively;
Figure 72864DEST_PATH_IMAGE027
taking the offset reference voltage10% of the total weight of the composition,
Figure 241808DEST_PATH_IMAGE028
taking 0;
3) and (3) branch current constraint:
Figure 688970DEST_PATH_IMAGE072
in the formula,
Figure 409801DEST_PATH_IMAGE031
is a nodeiAnd nodejThe current amplitude of the branch in which the current is located,
Figure 965416DEST_PATH_IMAGE032
is a nodeiAnd nodejThe maximum allowable current of the branch in which the current sensor is arranged;
Figure 797106DEST_PATH_IMAGE033
is a nodeiAnd nodejVoltage phase difference of (a);
4) flexible multi-state switch operation constraints:
Figure 98775DEST_PATH_IMAGE034
Figure 131453DEST_PATH_IMAGE035
Figure 784151DEST_PATH_IMAGE036
in the formula,
Figure 153952DEST_PATH_IMAGE037
and
Figure 965919DEST_PATH_IMAGE038
active power of nodes is injected into two ends of the flexible multi-state switch respectively,
Figure 28553DEST_PATH_IMAGE039
and
Figure 43914DEST_PATH_IMAGE040
respectively injecting reactive power of nodes at two ends of the flexible multi-state switch,
Figure 482985DEST_PATH_IMAGE041
capacity of a flexible multi-state switch;
5) distributed power supply operation constraint:
Figure 24825DEST_PATH_IMAGE042
Figure 382994DEST_PATH_IMAGE043
in the formula,
Figure 10285DEST_PATH_IMAGE044
and
Figure 721889DEST_PATH_IMAGE045
active power and reactive power of the nodes are injected for the distributed power supply respectively,
Figure 993601DEST_PATH_IMAGE046
for minimum power factor limitation of distributed power supply output, take
Figure 663617DEST_PATH_IMAGE047
In an optional example, the determining to recover the power distribution network topology adopted by the power supply of the off-grid node of the power distribution network specifically includes:
1) determining voltage of each node based on simulated closed loop operation power distribution network topology
Figure 512624DEST_PATH_IMAGE048
And determining the nodemAnd nodenMean current of branch
Figure 418132DEST_PATH_IMAGE049
Figure 668985DEST_PATH_IMAGE050
Figure 244323DEST_PATH_IMAGE051
Figure 721572DEST_PATH_IMAGE052
Figure 40558DEST_PATH_IMAGE053
In the formula,S mn is a nodemTo the nodenIn the flow of (2) to (2),S nm is a nodenTo the nodemIn the flow of (2) to (2),P mn Q mn are respectively nodesmTo the nodenActive and reactive components of the power flow;
2) sequencing the node voltages in an ascending order;
3) acquiring corresponding node numbers in sequence according to the node voltages from low to high, calculating whether related branches need to be retired, and acquiring the branch numbers related to the nodes and the branch flows corresponding to the branch numbers according to the undirected graph incidence matrix M; if the branch with the power flow smaller than the threshold value is retreated from the simulated closed-loop operation power distribution network topology, the basic loop number of the network topology can be reduced, and the branch is retreated;
4) and repeating the steps 1) to 3) until the basic loop number of the power distribution network topology simulating closed-loop operation is 0, and obtaining the final power distribution network topology at the moment.
In an optional example, the load configuration unit determines the position of the recovered load and the number of the recovered loads, and determines the weight of each level of load according to the power factor of each level of load, specifically:
establishing a load recovery model, and introducing a load recovery variablec i The meaning is as follows:
Figure 536130DEST_PATH_IMAGE054
considering the recovery of the load according to the important level, the load with three levels is set, and the node sets of the levels from high to low are respectively
Figure 282369DEST_PATH_IMAGE055
Figure 105969DEST_PATH_IMAGE056
And
Figure 805809DEST_PATH_IMAGE057
the load at the same level has the same importance degree, and the load recovery weight is introduced
Figure 765675DEST_PATH_IMAGE058
Description nodeiThe importance of the load, then
Figure 823761DEST_PATH_IMAGE058
Can be determined by the following formula:
Figure 134656DEST_PATH_IMAGE059
Figure 61024DEST_PATH_IMAGE060
Figure 30DEST_PATH_IMAGE061
Figure 619230DEST_PATH_IMAGE062
in the formula,D 1 D 2 andD 3 is a weight
Figure 151843DEST_PATH_IMAGE063
The specific value of (a) is,
Figure 226109DEST_PATH_IMAGE064
is a nodeiThe power factor of the load;
with the aim of recovering the active load at most, the objective function of the load recovery model can be expressed as:
Figure 426146DEST_PATH_IMAGE065
the node voltage constraint of the load recovery model is as follows:
Figure 950668DEST_PATH_IMAGE066
(ii) a In the formula,
Figure 95211DEST_PATH_IMAGE067
and
Figure 363381DEST_PATH_IMAGE068
are each set to 10% from the reference voltage.
Generally, compared with the prior art, the technical scheme conceived by the invention has the following beneficial effects:
the invention provides a power distribution network power supply recovery method and system considering network reconfiguration, which are based on the theory of graph theory and utilize an incidence matrix to realize the quick search of a power loss area and a power supply area and the open-loop operation inspection of network topology. When the power distribution network power supply recovery network topology is optimized, branches with low end point voltage and small power flow in a loop are quitted to operate based on a power flow calculation result of a simulated closed-loop operation power distribution network, so that a good topology for power distribution network power supply recovery is formed, the limitation of bad topology on load recovery is reduced, the operation amount of global search for optimal power supply recovery network topology is reduced, the situation that the power supply recovery range of the power distribution network is narrowed due to unreasonable topology after a fault is reduced, and the reliability of the power distribution network under the fault is effectively guaranteed.
Drawings
Fig. 1 is a flowchart of a power distribution network power supply restoration method considering network reconfiguration according to an embodiment of the present invention.
Fig. 2 is a schematic diagram of a novel power distribution network including a flexible multi-state switch and new energy access according to an embodiment of the present invention.
Fig. 3 is a calculation flow chart of a two-stage power restoration method for a novel power distribution network in consideration of network reconfiguration according to an embodiment of the present invention.
Fig. 4 is a flowchart of calculating an "open loop" of a power distribution network simulating closed loop operation according to an embodiment of the present invention.
Fig. 5 is a distribution diagram of loads at various levels of a distribution network according to an embodiment of the present invention.
Fig. 6 is a load recovery end result provided by an embodiment of the present invention.
Fig. 7 is a diagram of a power recovery system architecture of a power distribution network considering network reconfiguration according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
The invention discloses a novel two-stage power supply recovery method for a power distribution network, which takes network reconstruction into consideration, and three power supply recovery means, namely network reconstruction, a distributed power supply and a flexible multi-state switch, are taken into consideration in power supply recovery. Firstly, rapidly searching off-grid nodes by adopting an incidence matrix of a power distribution network undirected graph, and counting equipment and resources which can be used for recovering power supply; secondly, establishing a simulation closed-loop operation power distribution network node voltage optimization model, cutting off branches with low branch end node voltage and small power flow in a loop according to a power flow optimization result, and determining a power distribution network topology adopted by power supply recovery; and finally, establishing a load recovery model considering load grading, and optimizing and calculating a load recovery scheme.
The invention aims to provide a novel two-stage power supply recovery method for a power distribution network, which considers three power supply recovery means of network reconfiguration, a distributed power supply and a flexible multi-state switch in power supply recovery, reduces the situation that the power supply recovery range of the power distribution network is narrowed due to unreasonable topology after a fault, and effectively ensures the reliability of the power distribution network under the fault.
The main application object of the invention is a novel power distribution network accessed with a flexible multi-state switch and a distributed power supply, the power distribution network comprises a distribution transformer, a bus, a retractable power transmission line, a tie switch, a load, the distributed power supply and the flexible multi-state switch, the load and the distributed power supply are connected to a feeder node through a conventional switch, and different circuit branches realize loop closing operation through the flexible multi-state switch.
The two-stage power supply recovery calculation method mainly comprises three parts of network state statistics, network reconstruction calculation and load recovery calculation after fault removal, and specifically comprises the following steps:
step one, searching and counting the network state after fault removal.
Establishing an undirected graph incidence matrix of the power distribution network after the fault is removed; searching and counting network states after fault removal based on an undirected graph incidence matrix, wherein the network states comprise a grid-connected node set Con and an off-grid node set Iso after fault removal, a Load counting set Load before each node fault, resources which can be used for recovering power supply of an off-grid node group and capacity of the resources
Figure 152346DEST_PATH_IMAGE073
Calculating the load amount to be recovered
Figure 723135DEST_PATH_IMAGE074
And
Figure 230340DEST_PATH_IMAGE075
and step two, establishing a simulation closed-loop operation power distribution network node voltage optimization model, and determining a power distribution network topology adopted by power supply recovery.
Assuming that all available interconnection switches of the power distribution network are put into operation, carrying out load flow optimization on the power distribution network in closed-loop operation of the simulation bar by taking reduction of node voltage deviation as a target, and calculating load flow; based on the method for calculating the basic loop number of the network by adopting the directed graph incidence matrix, the minimum load flow branch associated with the lowest point of the node voltage in the loop is disconnected, and a benign network topology for power restoration after the power distribution network fails is obtained.
And step three, establishing a load recovery model, and optimizing and calculating a load recovery scheme.
And calculating the recovery weight of each level of load according to the power factor extreme value of each level of load, and establishing an optimization model for recovering according to the level of the load, so that the power supply requirement of the important load is guaranteed.
Fig. 1 is a flowchart of a power distribution network power supply restoration method considering network reconfiguration according to an embodiment of the present invention, and as shown in fig. 1, the method includes the following steps:
s101, after the fault of the power distribution network is removed, establishing a corresponding undirected graph correlation matrix to determine the information of the power distribution network after the fault is removed, and calculating the load amount to be recovered based on the information of the power distribution network, wherein the information of the power distribution network comprises: the grid-connected nodes after the fault is removed, the off-grid nodes after the fault is removed, the loads before the fault of each node and the off-grid nodes are concentrated with resource information which can be used for recovering power supply;
s102, establishing a node voltage optimization model simulating closed-loop operation of the power distribution network after fault removal based on the grid-connected node set after fault removal, the off-grid node set after fault removal and a contact switch of the power distribution network, and determining a power distribution network topology adopted for recovering power supply of the off-grid node of the power distribution network; the node voltage optimization model puts all available power distribution network tie switches into operation, and branches in the power distribution network tie switches are withdrawn from the node voltage optimization model to reduce the number of basic loops in the model until the number of the basic loops in the model is reduced to 0, so that the final power distribution network topology is obtained; the logic to exit the branch from operation is: if the number of basic loops of the model is reduced after the branch circuit exits from operation, the voltage of a node connected with the branch circuit is minimum, and the line load flow of the branch circuit is minimum, the branch circuit exits from operation;
s103, based on the power distribution network topology, the loads before the faults of the nodes, the resource information which can be used for recovering power supply in the off-network node set and the load quantity to be recovered, the maximum active load recovery quantity is an objective function, the position of the recovered load and the quantity of the recovered load are determined, the weight of each level of load is determined according to the power factor of each level of load, and the level of the load is divided according to the importance degree of the load in the power distribution network.
Fig. 2 shows a novel distribution network as a main application object of the present invention. The power distribution network system comprises a distribution transformer, a bus, a retractable power transmission line, a connection switch, a load, a distributed power supply and a flexible multi-state switch, wherein the load and the distributed power supply are connected to a feeder node through a conventional switch, and different circuit branches realize closed-loop operation through the flexible multi-state switch. The fault conditions shown in fig. 2 are: a short circuit fault occurs between the branches of node 4 and node 5.
Fig. 3 shows a calculation flow of the present invention, which mainly includes three parts, namely, network state statistics, network reconfiguration calculation, and load recovery calculation after the failure is removed. Wherein, the network state statistics searches and counts the load of the off-grid node group before the fault, the resource which can be used for power supply recovery, and the like; network reconstruction calculation determines a benign network structure when power supply is restored; the load recovery calculation determines the location at which to recover the load. The process involved in the invention is as follows:
searching and counting network states after fault removal, including a grid-connected node set Con and an off-grid node set Iso after fault removal, a Load counting set Load before each node fault, resources which can be used for recovering power supply of an off-grid node group and capacity of the resources
Figure 36622DEST_PATH_IMAGE076
Calculating the load amount to be recovered
Figure 70306DEST_PATH_IMAGE070
And
Figure 936631DEST_PATH_IMAGE004
all systems ofThe metering can be expressed as follows:
Figure 806498DEST_PATH_IMAGE077
Figure 416471DEST_PATH_IMAGE078
Figure 180027DEST_PATH_IMAGE079
Figure 341887DEST_PATH_IMAGE080
Figure 823684DEST_PATH_IMAGE081
Figure 971769DEST_PATH_IMAGE082
the network state search after the fault removal can be realized based on an incidence matrix M of an undirected graph, and the specific method flow is as follows:
(1) and acquiring network branch information and node information, and acquiring node set Bus of the power distribution network and Load before each node fails.
(2) Establishing an undirected graph incidence matrix M of the power distribution network according to the information of the commissioned branch after the fault is removed, wherein the elements of the undirected graph incidence matrix M
Figure 589832DEST_PATH_IMAGE001
Is defined as:
Figure 673326DEST_PATH_IMAGE002
(3) the method comprises the following steps of taking a head-end node connected with a distribution network transformer as a search set, and establishing a grid-connected node set Con by utilizing an undirected graph incidence matrix M for searching, wherein the specific calculation method comprises the following steps:
1) reading rows corresponding to each node of the search set in the incidence matrix M to obtain branch numbers associated with the nodes of the search set;
2) reading nodes related to the related branches obtained from 1) in the incidence matrix M to serve as a new search set;
3) repeating 1) and 2) until the search set is not changed any more, wherein the search set at the moment is a grid-connected node set Con;
4) calculating an off-grid node set Iso, and enabling Iso = Bus-Con;
5) calculating the load amount to be recovered
Figure 376839DEST_PATH_IMAGE003
And
Figure 328615DEST_PATH_IMAGE075
and step two, establishing a simulation closed-loop operation power distribution network node voltage optimization model, and determining a power distribution network topology adopted by power supply recovery. The specific process is as follows:
(1) and assuming that all available interconnection switches of the power distribution network are put into operation, forming a network topology of the simulated closed-loop operation power distribution network, optimizing the operation states of the distributed power supply and the flexible multi-state switch by taking the minimum value of the node voltage as an optimization target, and calculating to obtain the voltage of each node and the load flow of each branch circuit of the simulated closed-loop operation. The objectives of the optimization model are represented as follows
Figure 214835DEST_PATH_IMAGE083
In the formula,
Figure 593864DEST_PATH_IMAGE006
is a nodeiThe voltage amplitude of (c).
The constraints of the optimization model are as follows
1) System power flow constraint
Figure 784674DEST_PATH_IMAGE007
Figure 149927DEST_PATH_IMAGE071
In the formula,
Figure 8162DEST_PATH_IMAGE084
is a nodeijThe phase angle difference of (a) is,
Figure 558092DEST_PATH_IMAGE010
and
Figure 95252DEST_PATH_IMAGE085
are respectively injection nodesiActive power and reactive power of;
Figure 388830DEST_PATH_IMAGE086
Figure 101572DEST_PATH_IMAGE013
Figure 697769DEST_PATH_IMAGE014
Figure 128750DEST_PATH_IMAGE015
are respectively nodes in the node admittance matrixiSelf-conductance and self-susceptance, nodeiAnd nodejMutual conductance and mutual susceptance between them;
Figure 960440DEST_PATH_IMAGE010
and
Figure 386742DEST_PATH_IMAGE085
the calculation formula of (c) is as follows:
Figure 278475DEST_PATH_IMAGE087
Figure 665594DEST_PATH_IMAGE017
wherein,
Figure 441920DEST_PATH_IMAGE018
and
Figure 863674DEST_PATH_IMAGE019
are respectively nodesiThe connected flexible multi-state switch injects the active power and the reactive power of the node,
Figure 926308DEST_PATH_IMAGE020
and
Figure 190936DEST_PATH_IMAGE088
respectively injecting active power and reactive power of nodes into the connected distributed power supply;
Figure 364429DEST_PATH_IMAGE022
and
Figure 640689DEST_PATH_IMAGE023
are respectively nodesiThe active and reactive components of the load.
2) Node voltage constraint
Figure 15170DEST_PATH_IMAGE024
In the formula,
Figure 376881DEST_PATH_IMAGE025
and
Figure 354064DEST_PATH_IMAGE026
upper and lower limits of the system voltage constraint, respectively. In theory, it is possible to use,
Figure 750410DEST_PATH_IMAGE089
and
Figure 545060DEST_PATH_IMAGE028
only a setting of 7% or 10% from the reference voltage is allowed, but the corresponding optimization problem may not be solved without cutting off the load, considering that the power supply resumes the operation of the distribution network in an abnormal state
Figure 128488DEST_PATH_IMAGE025
Taking
10% of the deviation from the reference voltage,
Figure 909362DEST_PATH_IMAGE028
take 0.
3) Branch current constraint
Figure 301161DEST_PATH_IMAGE090
In the formula,
Figure 876498DEST_PATH_IMAGE031
is a nodeiAnd nodejThe current amplitude of the branch in which the current is located,
Figure 947223DEST_PATH_IMAGE032
is a nodeiAnd nodejThe maximum allowable current of the branch in which the current sensor is arranged;
Figure 390842DEST_PATH_IMAGE033
is a nodeiAnd nodejVoltage phase difference of (1).
4) Flexible multi-state switch operational constraints
Figure 761781DEST_PATH_IMAGE034
Figure 648965DEST_PATH_IMAGE035
Figure 472565DEST_PATH_IMAGE036
In the formula,
Figure 329662DEST_PATH_IMAGE037
and
Figure 555107DEST_PATH_IMAGE038
active power of nodes is injected into two ends of the flexible multi-state switch respectively,
Figure 862461DEST_PATH_IMAGE039
and
Figure 907777DEST_PATH_IMAGE040
respectively injecting reactive power of nodes at two ends of the flexible multi-state switch,
Figure 568566DEST_PATH_IMAGE041
is the capacity of a flexible multi-state switch.
5) Distributed power supply operation constraints
Figure 523883DEST_PATH_IMAGE042
Figure 877504DEST_PATH_IMAGE043
In the formula,
Figure 410117DEST_PATH_IMAGE044
and
Figure 999230DEST_PATH_IMAGE045
active power and reactive power of the distributed power injection nodes are injected respectively,
Figure 199267DEST_PATH_IMAGE046
for minimum power factor limitation of distributed power supply output, take
Figure 458210DEST_PATH_IMAGE047
The above optimization problem can be converted into a cone optimization problem to be solved by substituting the symbols in the model as follows.
Figure 353485DEST_PATH_IMAGE091
(2) And performing open-loop treatment on the power distribution network which simulates closed-loop operation according to the voltage of each node and the power flow of each branch. The specific flow is
1) And (2) solving the node voltage and the branch load flow based on the optimized calculation in the step two (1). Wherein the node voltage
Figure 887234DEST_PATH_IMAGE092
Can be based on substitute variables
Figure 676199DEST_PATH_IMAGE093
Calculating the square root; node pointmTo the nodenBranch flow of
Figure 230677DEST_PATH_IMAGE094
The calculation formula of (A) is as follows:
Figure 3461DEST_PATH_IMAGE095
Figure 809743DEST_PATH_IMAGE052
Figure 594159DEST_PATH_IMAGE053
2) and sequencing the node voltages in an ascending order.
3) And acquiring corresponding node numbers in sequence from low to high according to the node voltage, and calculating whether the relevant branch needs to be retired, wherein the specific flow is shown in fig. 4. And (3) acquiring the branch number associated with the node and the corresponding branch power flow according to the incidence matrix M established in the step (2). And if the branch with smaller trend is retreated from the simulated closed-loop operation power distribution network topology, the basic loop number of the network topology can be reduced, and the branch is retreated. And acquiring the node number and repeating the calculation and operation until the basic loop number of the network topology is 0.
Specifically, in the step two, from the power distribution network simulating closed-loop operation, the logic of the exit branch is as follows: 1. the number of basic loops can be reduced after the loop is withdrawn; 2. in the branch satisfying 1, the voltage of one connected node is minimum; 3. in the way satisfying 1 and 2, the line flow is minimum.
The specific method for calculating the basic loop number of the power distribution network topology is as follows:
firstly, constructing a directed graph incidence matrix A of a power distribution network, and elements of the directed graph incidence matrix A
Figure 460484DEST_PATH_IMAGE096
Is defined as:
Figure 579619DEST_PATH_IMAGE097
calculating the basic loop number of the simulated closed-loop operation distribution network
Figure DEST_PATH_IMAGE098
The calculation formula is as follows:
Figure 720750DEST_PATH_IMAGE099
in the formula,
Figure 94094DEST_PATH_IMAGE100
indicating the rank of the correlation matrix a and,bindicating the number of branches.
And step three, establishing a load recovery model, and optimizing and calculating a load recovery scheme. Introducing load recovery variablesc i The meaning is as follows:
Figure 396899DEST_PATH_IMAGE054
considering load recovery by importance level, it is assumed that there are three levels of negativesThe node sets of the load and the level from high to low are respectively
Figure 613117DEST_PATH_IMAGE055
Figure 885835DEST_PATH_IMAGE056
And
Figure 769478DEST_PATH_IMAGE057
the load at the same level has the same importance degree, and the load recovery weight is introduced
Figure 977605DEST_PATH_IMAGE058
Description nodeiThe importance of the load, then
Figure 556485DEST_PATH_IMAGE058
Can be determined by the following formula:
Figure 773840DEST_PATH_IMAGE059
Figure 246409DEST_PATH_IMAGE060
Figure 15651DEST_PATH_IMAGE101
Figure 206461DEST_PATH_IMAGE062
in the formula,D 1 D 2 andD 3 is a weight
Figure 696348DEST_PATH_IMAGE063
The specific value of (a) is,
Figure 429949DEST_PATH_IMAGE064
is a nodeiA power factor of the load; the above formula strictly ensures the recovery priority of each level of load by determining the weight of each level of load. Since the maximum capacity of the power supply for recovering the power supply is determined, the optimization model of the load recovery is usually the maximum objective function of the active load recovery quantity. The greater the factor of the load power, the more active power recovered, with the same conditions of neglecting line losses and considering the recovered load capacity. In order to compensate the influence of the power factor on the recovery calculation according to the load priority in the weightless heavy load recovery model, the condition of extreme power factors in loads of different levels is considered, and the weight with larger level difference is set among the loads of different levels.
With the aim of recovering the active load at most, the objective function of the load recovery model can be expressed as:
Figure 714300DEST_PATH_IMAGE065
the constraints of the optimization model include 1) to 5) of the writes listed in step two (1), but 2)
Figure 782619DEST_PATH_IMAGE067
And
Figure 76197DEST_PATH_IMAGE068
the correspondence is set to 10% from the reference voltage. And finally, the optimization model calculates the load recovery position and the load quantity finally recovered.
The method disclosed by the invention is illustrated by combining the following calculation examples: taking the power distribution network shown in fig. 5 as an example, the node loads are divided into 3 levels, a fault occurs in a branch connecting a node 4 and a node 5, an off-network node set Iso is nodes 5 to 17 and nodes 25 to 33, and the total load loss amount reaches (2055 +)j1480) kVA. The benign topology of the recovery load of the power distribution network obtained by the optimization calculation in the step two is shown in fig. 6: except that the interconnection switches connected with the nodes 8 and 14 are switched on, the other interconnection switches are all put into operation; the branch in which the node 30 and the node 31 are located exits the operation. The final result of load recovery is shown in FIG. 6, except for three loads at nodes 13, 29, and 32The power is not recovered, the rest loads are recovered, and the total recovery power reaches (1675 +)j760) kVA. Here, the number of the first and second electrodes,jrepresenting a complex number.
Fig. 7 is a diagram of a power recovery system architecture of a power distribution network considering network reconfiguration according to an embodiment of the present invention, as shown in fig. 7, including:
the power distribution network information determining unit 710 is configured to establish a corresponding undirected graph correlation matrix after a power distribution network fault is removed, so as to determine power distribution network information after the fault is removed, and calculate a load amount to be recovered based on the power distribution network information, where the power distribution network information includes: the grid-connected nodes after fault removal, the off-grid nodes after fault removal, the loads before the fault of each node and the off-grid nodes are centralized with resource information which can be used for recovering power supply;
the power distribution network topology determining unit 720 is used for establishing a node voltage optimization model simulating closed-loop operation of the power distribution network after the fault is removed based on the grid-connected node set after the fault is removed, the off-grid node set after the fault is removed and the contact switches of the power distribution network, and determining the power distribution network topology adopted for recovering power supply of the off-grid nodes of the power distribution network; the node voltage optimization model puts all available power distribution network tie switches into operation, and branches in the power distribution network tie switches are withdrawn from the node voltage optimization model to reduce the number of basic loops in the model until the number of the basic loops in the model is reduced to 0, so that the final power distribution network topology is obtained; the logic to exit the branch from operation is: if the number of basic loops of the model is reduced after the branch circuit exits from operation, the voltage of a node connected with the branch circuit is minimum, and the line load flow of the branch circuit is minimum, the branch circuit exits from operation;
and the load configuration unit 730 is configured to determine, based on the power distribution network topology, the loads before the failure of each node, the resource information which is concentrated on the off-network nodes and can be used for recovering power supply, and the load quantity to be recovered, by using the maximum active load recovery quantity as an objective function, the position of recovering the load and the quantity of the recovered load, and determine the weight of each level of load according to the power factor of each level of load, where the levels of the load are divided according to the importance degree of the load in the power distribution network.
It can be understood that detailed functional implementation of each unit in fig. 7 can refer to the description in the foregoing method embodiment, and is not described herein again.
It will be understood by those skilled in the art that the foregoing is only a preferred embodiment of the present invention, and is not intended to limit the invention, and that any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the scope of the present invention.

Claims (10)

1. A power distribution network power supply recovery method considering network reconfiguration is characterized by comprising the following steps:
after the fault of the power distribution network is removed, establishing a corresponding undirected graph correlation matrix to determine the power distribution network information after the fault is removed, and calculating the load amount to be recovered based on the power distribution network information, wherein the power distribution network information comprises: the grid-connected nodes after the fault is removed, the off-grid nodes after the fault is removed, the loads before the fault of each node and the off-grid nodes are concentrated with resource information which can be used for recovering power supply;
establishing a node voltage optimization model simulating closed-loop operation of the power distribution network after the fault is removed based on the grid-connected node set after the fault is removed, the off-grid node set after the fault is removed and a contact switch of the power distribution network, and determining a power distribution network topology adopted for recovering power supply of the off-grid node of the power distribution network; the node voltage optimization model puts all available power distribution network tie switches into operation, and the branches in the node voltage optimization model are withdrawn from operation so as to reduce the number of basic loops in the model until the number of the basic loops in the model is reduced to 0, so that the final power distribution network topology is obtained; the logic to exit the branch from operation is: if the number of basic loops of the model is reduced after the branch circuit exits from operation, the voltage of a node connected with the branch circuit is minimum, and the line load flow of the branch circuit is minimum, the branch circuit exits from operation;
based on the power distribution network topology, the loads before the faults of the nodes, the resource information which can be used for recovering power supply in the off-network node set and the load quantity to be recovered, the maximum active load recovery quantity is an objective function, the position of the recovered load and the quantity of the recovered load are determined, the weight of each level of load is determined according to the power factor of each level of load, and the level of the load is divided according to the importance degree of the load in the power distribution network.
2. The method according to claim 1, wherein after the fault of the distribution network is removed, a corresponding undirected graph correlation matrix is established to determine the information of the distribution network after the fault is removed, specifically:
acquiring branch information and node information of the power distribution network, and determining a node set Bus of the power distribution network and a Load before each node fails;
establishing an undirected graph incidence matrix M of the power distribution network according to the information of the branch circuits put into operation in the power distribution network after the fault is removed, wherein the elements of the undirected graph incidence matrix M
Figure 132137DEST_PATH_IMAGE001
Is defined as:
Figure 580436DEST_PATH_IMAGE002
the method comprises the following steps of taking a head-end node connected with a distribution network transformer as a search set, and establishing a grid-connected node set Con by utilizing an undirected graph incidence matrix M search, wherein the specific calculation method comprises the following steps:
1) reading rows corresponding to each node of the search set in the undirected graph correlation matrix M to obtain branch numbers associated with the nodes of the search set;
2) reading nodes associated with the relevant branches obtained from the step 1) in the undirected graph correlation matrix M to serve as a new search set;
3) repeating the step 1) and the step 2) until the search set is not changed any more, wherein the search set at the moment is a grid-connected node set Con;
4) calculating an off-grid node set Iso, wherein Iso = Bus-Con;
5) according to the off-grid node set Iso and the Load before each node fault, summing the loads before the off-grid node fault to calculate the active component of the Load quantity to be recovered
Figure 750387DEST_PATH_IMAGE003
And a reactive component
Figure 676754DEST_PATH_IMAGE004
3. The method according to claim 2, wherein the establishing of the node voltage optimization model simulating closed-loop operation of the power distribution network after fault removal specifically comprises:
assuming that all available interconnection switches of the power distribution network are put into operation, forming a power distribution network topology simulating closed-loop operation, optimizing the operation states of a distributed power supply and a flexible multi-state switch in the power distribution network by taking the minimum value of the node voltage as an optimization target, and calculating to obtain the voltage of each node and the load flow of each branch circuit simulating closed-loop operation; the optimization target is as follows:
Figure 897651DEST_PATH_IMAGE005
in the formula,
Figure 985693DEST_PATH_IMAGE006
is a nodeiVoltage amplitude of (d);
the node voltage optimization model is constrained as follows:
1) and (3) system power flow constraint:
Figure 518305DEST_PATH_IMAGE007
Figure 372998DEST_PATH_IMAGE008
in the formula,
Figure 307456DEST_PATH_IMAGE009
is a nodeijThe phase angle difference of (a) is greater than (b),
Figure 566399DEST_PATH_IMAGE010
and
Figure 727253DEST_PATH_IMAGE011
are respectively injection nodesiActive power and reactive power of;
Figure 729844DEST_PATH_IMAGE012
Figure 784388DEST_PATH_IMAGE013
Figure 604445DEST_PATH_IMAGE014
Figure 111650DEST_PATH_IMAGE015
are respectively nodes in the node admittance matrixiSelf-conductance and self-susceptance, nodeiAnd nodejMutual conductance and mutual susceptance between them;
Figure 917932DEST_PATH_IMAGE010
and
Figure 702348DEST_PATH_IMAGE016
the calculation formula of (a) is as follows:
Figure 568673DEST_PATH_IMAGE017
Figure 563174DEST_PATH_IMAGE018
wherein,
Figure 32201DEST_PATH_IMAGE019
and
Figure 61337DEST_PATH_IMAGE020
are respectively nodesiFlexibility of connectionThe multi-state switch injects both active and reactive power at the node,
Figure 98563DEST_PATH_IMAGE021
and
Figure 455726DEST_PATH_IMAGE022
respectively injecting active power and reactive power of nodes into the connected distributed power supply;
Figure 603811DEST_PATH_IMAGE023
and
Figure 221874DEST_PATH_IMAGE024
are respectively nodesiThe active and reactive components of the load;
2) node voltage constraint:
Figure 820214DEST_PATH_IMAGE025
in the formula,
Figure 523728DEST_PATH_IMAGE026
and
Figure 209924DEST_PATH_IMAGE027
upper and lower limits of system voltage constraints, respectively;
Figure 823440DEST_PATH_IMAGE028
taking 10% of the deviation from the reference voltage,
Figure 468047DEST_PATH_IMAGE029
taking 0;
3) branch current constraint:
Figure 658857DEST_PATH_IMAGE031
in the formula,
Figure 273378DEST_PATH_IMAGE032
is a nodeiAnd nodejThe current amplitude of the branch in which the current is located,
Figure 866034DEST_PATH_IMAGE033
is a nodeiAnd nodejThe maximum allowable current of the branch in which the current transformer is arranged;
Figure 415964DEST_PATH_IMAGE034
is a nodeiAnd nodejVoltage phase difference of (a);
4) flexible multi-state switch operation constraints:
Figure 969436DEST_PATH_IMAGE035
Figure 263014DEST_PATH_IMAGE036
Figure 975755DEST_PATH_IMAGE037
in the formula,
Figure 555641DEST_PATH_IMAGE038
and
Figure 721043DEST_PATH_IMAGE039
active power of nodes is injected into two ends of the flexible multi-state switch respectively,
Figure 552733DEST_PATH_IMAGE040
and
Figure 260926DEST_PATH_IMAGE041
reactive power of the nodes is injected into the two ends of the flexible multi-state switch respectively,
Figure 887079DEST_PATH_IMAGE042
is the capacity of the flexible multi-state switch;
5) distributed power supply operation constraint:
Figure 539778DEST_PATH_IMAGE043
Figure 565371DEST_PATH_IMAGE044
in the formula,
Figure 721546DEST_PATH_IMAGE045
and
Figure 784180DEST_PATH_IMAGE046
active power and reactive power of the distributed power injection nodes are injected respectively,
Figure 658595DEST_PATH_IMAGE047
for minimum power factor limitation of distributed power supply output, take
Figure 973033DEST_PATH_IMAGE048
4. The method according to claim 3, wherein the determining of the power distribution network topology used for recovering the power supply of the off-grid node of the power distribution network specifically comprises:
1) determining voltage of each node based on simulated closed loop operation power distribution network topology
Figure 514873DEST_PATH_IMAGE049
And determining the nodemAnd nodenIs located on the branchFlow of uniform tide
Figure 748408DEST_PATH_IMAGE050
Figure 234753DEST_PATH_IMAGE051
Figure 211936DEST_PATH_IMAGE052
Figure 608283DEST_PATH_IMAGE053
Figure 888085DEST_PATH_IMAGE054
In the formula,S mn is a nodemTo the nodenIn the flow of (2) to (2),S nm is a nodenTo the nodemIn the flow of (2) to (2),P mn Q mn are respectively nodesmTo nodenActive and reactive components of the power flow;
2) sequencing the node voltages in an ascending order;
3) acquiring corresponding node numbers in sequence according to the node voltages from low to high, calculating whether related branches need to be retired, and acquiring the branch numbers related to the nodes and the branch flows corresponding to the branch numbers according to the undirected graph incidence matrix M; if the branch with the power flow smaller than the threshold value returns from the simulated closed-loop operation power distribution network topology, the basic loop number of the network topology can be reduced, and the branch returns;
4) and repeating the steps 1) to 3) until the basic loop number of the power distribution network topology simulating closed-loop operation is 0, and obtaining the final power distribution network topology at the moment.
5. The method according to claim 4, wherein the position of the recovered load and the number of the recovered loads are determined, and the weight of each level of load is determined according to the power factor of each level of load, specifically:
establishing a load recovery model, and introducing a load recovery variablec i The meaning is as follows:
Figure 737093DEST_PATH_IMAGE055
considering the recovery of the load according to the important level, the load with three levels is set, and the node sets of the levels from high to low are respectively
Figure 252388DEST_PATH_IMAGE056
Figure 503240DEST_PATH_IMAGE057
And
Figure 468791DEST_PATH_IMAGE058
the load at the same level has the same importance degree, and the load recovery weight is introduced
Figure 805095DEST_PATH_IMAGE059
Description nodeiThe importance of the load, then
Figure 124080DEST_PATH_IMAGE059
Can be determined by the following formula:
Figure 370385DEST_PATH_IMAGE060
Figure 116624DEST_PATH_IMAGE061
Figure 674645DEST_PATH_IMAGE062
Figure 921955DEST_PATH_IMAGE063
in the formula,D 1 D 2 andD 3 is a weight
Figure 881821DEST_PATH_IMAGE064
The specific value of (a) is,
Figure 64541DEST_PATH_IMAGE065
is a nodeiThe power factor of the load;
with the aim of recovering the active load at most, the objective function of the load recovery model can be expressed as:
Figure 250802DEST_PATH_IMAGE066
the node voltage constraint of the load recovery model is as follows:
Figure 911591DEST_PATH_IMAGE067
(ii) a In the formula,
Figure 991542DEST_PATH_IMAGE068
and
Figure 469797DEST_PATH_IMAGE069
are set to be 10% off the reference voltage.
6. A power distribution network power supply recovery system that takes into account network reconfiguration, comprising:
the power distribution network information determining unit is used for establishing a corresponding undirected graph correlation matrix after the fault of the power distribution network is removed so as to determine the power distribution network information after the fault is removed, and calculating the load amount to be recovered based on the power distribution network information, wherein the power distribution network information comprises: the grid-connected nodes after fault removal, the off-grid nodes after fault removal, the loads before the fault of each node and the off-grid nodes are centralized with resource information which can be used for recovering power supply;
the power distribution network topology determining unit is used for establishing a node voltage optimization model simulating closed-loop operation of the power distribution network after the fault is removed based on the grid-connected node set after the fault is removed, the off-grid node set after the fault is removed and a contact switch of the power distribution network, and determining the power distribution network topology adopted for recovering power supply of the off-grid node of the power distribution network; the node voltage optimization model puts all available power distribution network tie switches into operation, and the branches in the node voltage optimization model are withdrawn from operation so as to reduce the number of basic loops in the model until the number of the basic loops in the model is reduced to 0, so that the final power distribution network topology is obtained; the logic to exit the branch from operation is: if the number of basic loops of the model is reduced after the branch circuit exits from operation, the voltage of a node connected with the branch circuit is minimum, and the line load flow of the branch circuit is minimum, the branch circuit exits from operation;
and the load configuration unit is used for determining the positions of the recovered loads and the number of the recovered loads based on the topology of the power distribution network, the loads before the faults of the nodes, the resource information which can be used for recovering power supply in the off-network node set and the load quantity to be recovered by taking the maximum active load recovery quantity as an objective function, determining the weight of each level of load according to the power factor of each level of load, and dividing the level of the load according to the importance degree of the load in the power distribution network.
7. The system according to claim 6, wherein the distribution network information determining unit establishes a corresponding undirected graph correlation matrix after the fault of the distribution network is removed, so as to determine the distribution network information after the fault is removed, specifically: acquiring branch information and node information of the power distribution network, and determining a node set Bus of the power distribution network and a Load before each node fails; establishing undirected distribution network according to the information of the branch put into operation in the distribution network after the fault is removedGraph association matrix M, elements of which
Figure 2410DEST_PATH_IMAGE070
Is defined as:
Figure 732468DEST_PATH_IMAGE002
(ii) a The method comprises the following steps of taking a head-end node connected with a distribution network transformer as a search set, and establishing a grid-connected node set Con by utilizing an undirected graph incidence matrix M search, wherein the specific calculation method comprises the following steps: 1) reading rows corresponding to each node of the search set in the undirected graph incidence matrix M to obtain branch numbers associated with the nodes of the search set; 2) reading nodes associated with the relevant branches obtained from the step 1) in the undirected graph correlation matrix M to serve as a new search set; 3) repeating the step 1) and the step 2) until the search set is not changed any more, wherein the search set at the moment is a grid-connected node set Con; 4) calculating an off-grid node set Iso, and enabling Iso = Bus-Con; 5) according to the off-grid node set Iso and the Load before each node fault, summing the loads before the off-grid node fault to calculate the active component of the Load quantity to be recovered
Figure 276713DEST_PATH_IMAGE071
And a reactive component
Figure 801235DEST_PATH_IMAGE004
8. The system according to claim 7, wherein the power distribution network topology determining unit establishes a node voltage optimization model simulating closed-loop operation of the power distribution network after fault removal, specifically: assuming that all available interconnection switches of the power distribution network are put into operation, forming a power distribution network topology simulating closed-loop operation, optimizing the operation states of a distributed power supply and a flexible multi-state switch in the power distribution network by taking the minimum value of the node voltage as an optimization target, and calculating to obtain the voltage of each node and the load flow of each branch circuit simulating closed-loop operation;
the optimization target is as follows:
Figure 86723DEST_PATH_IMAGE072
in the formula,
Figure 237386DEST_PATH_IMAGE006
is a nodeiVoltage amplitude of (d);
the node voltage optimization model is constrained as follows:
1) and (3) system power flow constraint:
Figure 291929DEST_PATH_IMAGE007
Figure DEST_PATH_IMAGE073
in the formula,
Figure 128298DEST_PATH_IMAGE009
is a nodeijThe phase angle difference of (a) is greater than (b),
Figure 635503DEST_PATH_IMAGE010
and
Figure 441785DEST_PATH_IMAGE011
are respectively injection nodesiActive power and reactive power;
Figure 475469DEST_PATH_IMAGE012
Figure 341794DEST_PATH_IMAGE013
Figure 477240DEST_PATH_IMAGE014
Figure 821634DEST_PATH_IMAGE015
are respectively node admittance matrix middle sectionDotiSelf-conductance and self-susceptance, nodeiAnd nodejMutual conductance and mutual susceptance between them;
Figure 850769DEST_PATH_IMAGE010
and
Figure 747050DEST_PATH_IMAGE016
the calculation formula of (a) is as follows:
Figure 228847DEST_PATH_IMAGE017
Figure 376932DEST_PATH_IMAGE018
wherein,
Figure 135940DEST_PATH_IMAGE019
and
Figure 344068DEST_PATH_IMAGE020
are respectively nodesiThe connected flexible multi-state switch injects the active power and the reactive power of the node,
Figure 47581DEST_PATH_IMAGE021
and
Figure 123991DEST_PATH_IMAGE022
respectively injecting active power and reactive power of nodes into the connected distributed power supply;
Figure 862140DEST_PATH_IMAGE023
and
Figure 975589DEST_PATH_IMAGE024
are respectively a nodeiThe active and reactive components of the load;
2) node voltage constraint:
Figure 166399DEST_PATH_IMAGE025
in the formula,
Figure 797232DEST_PATH_IMAGE026
and
Figure 389887DEST_PATH_IMAGE027
upper and lower limits of system voltage constraints, respectively;
Figure 330030DEST_PATH_IMAGE028
taking 10% of the deviation from the reference voltage,
Figure 8136DEST_PATH_IMAGE029
taking 0;
3) and (3) branch current constraint:
Figure 301714DEST_PATH_IMAGE074
in the formula,
Figure 624242DEST_PATH_IMAGE032
is a nodeiAnd nodejThe current amplitude of the branch in which the current is located,
Figure 345074DEST_PATH_IMAGE033
is a nodeiAnd nodejThe maximum allowable current of the branch in which the current transformer is arranged;
Figure 510476DEST_PATH_IMAGE034
is a nodeiAnd nodejVoltage phase difference of (a);
4) flexible multi-state switch operation constraints:
Figure 342165DEST_PATH_IMAGE035
Figure 34047DEST_PATH_IMAGE036
Figure 925779DEST_PATH_IMAGE037
in the formula,
Figure 578478DEST_PATH_IMAGE038
and
Figure 89225DEST_PATH_IMAGE039
active power of nodes is injected into two ends of the flexible multi-state switch respectively,
Figure 510979DEST_PATH_IMAGE040
and
Figure 573613DEST_PATH_IMAGE041
respectively injecting reactive power of nodes at two ends of the flexible multi-state switch,
Figure 838241DEST_PATH_IMAGE042
capacity of a flexible multi-state switch;
5) distributed power supply operation constraint:
Figure 277312DEST_PATH_IMAGE043
Figure 553573DEST_PATH_IMAGE044
in the formula,
Figure 662474DEST_PATH_IMAGE045
and
Figure 289765DEST_PATH_IMAGE046
active power and reactive power of the nodes are injected for the distributed power supply respectively,
Figure 1369DEST_PATH_IMAGE047
for minimum power factor limitation of distributed power supply output, take
Figure 522349DEST_PATH_IMAGE048
9. The system according to claim 8, wherein the power distribution network topology determining unit determines a power distribution network topology adopted for recovering power supply from the power distribution network off-network node, and specifically includes:
1) determining voltage of each node based on simulated closed-loop operation power distribution network topology
Figure 192365DEST_PATH_IMAGE049
And determining the nodemAnd nodenMean current of branch
Figure 41372DEST_PATH_IMAGE050
Figure 432033DEST_PATH_IMAGE051
Figure 682886DEST_PATH_IMAGE052
Figure 523803DEST_PATH_IMAGE053
Figure 984740DEST_PATH_IMAGE054
In the formula,S mn is a nodemTo the nodenIn the flow of (2), the power flow,S nm is a nodenTo nodemIn the flow of (2), the power flow,P mn Q mn are respectively nodesmTo the nodenActive and reactive components of the power flow;
2) sequencing the node voltages in an ascending order;
3) acquiring corresponding node numbers in sequence according to the node voltages from low to high, calculating whether related branches need to be retired, and acquiring the branch numbers related to the nodes and the branch flows corresponding to the branch numbers according to the undirected graph incidence matrix M; if the branch with the power flow smaller than the threshold value is retreated from the simulated closed-loop operation power distribution network topology, the basic loop number of the network topology can be reduced, and the branch is retreated;
4) and repeating the steps 1) to 3) until the basic loop number of the power distribution network topology simulating closed-loop operation is 0, and obtaining the final power distribution network topology at the moment.
10. The system according to claim 9, wherein the load configuration unit determines the location of the recovered load and the number of recovered loads, and determines the weight of each level of load according to the power factor of each level of load, specifically:
establishing a load recovery model, and introducing a load recovery variablec i The meaning is as follows:
Figure 303726DEST_PATH_IMAGE055
considering the recovery of the load according to the important level, the load with three levels is set, and the node sets of the levels from high to low are respectively
Figure 409085DEST_PATH_IMAGE056
Figure 296270DEST_PATH_IMAGE057
And
Figure 854290DEST_PATH_IMAGE058
the load at the same level has the same importance degree, and the load recovery weight is introduced
Figure 976967DEST_PATH_IMAGE059
Description nodeiThe importance of the load, then
Figure 936833DEST_PATH_IMAGE059
Can be determined by the following formula:
Figure 244186DEST_PATH_IMAGE060
Figure 555082DEST_PATH_IMAGE061
Figure 215870DEST_PATH_IMAGE062
Figure 905609DEST_PATH_IMAGE063
in the formula,D 1 D 2 andD 3 is a weight
Figure 524809DEST_PATH_IMAGE064
The specific values of (a) are,
Figure 57421DEST_PATH_IMAGE065
is a nodeiThe power factor of the load;
with the aim of recovering the active load at most, the objective function of the load recovery model can be expressed as:
Figure 380955DEST_PATH_IMAGE066
the node voltage constraint of the load recovery model is as follows:
Figure 315413DEST_PATH_IMAGE067
(ii) a In the formula,
Figure 839935DEST_PATH_IMAGE068
and
Figure 735210DEST_PATH_IMAGE069
are set to be 10% off the reference voltage.
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